简介：

简介：这篇文章处理微分系统的思考功能。结果被使用讨论这些微分系统的稳定性。

简介：AbstractInthisnote,wepresentamethodofconstructingthehomogenizedoperatorforageneralsequenceofdifferentialoperators.Asanexample,weconstructthehomogenizedoperatorforasequenceoflinearparabolicoperators.

简介：Differentialproteinsexpressinginectopicandeutopicendometriawereinvestigatedbymeansofproteomicanalysis.Fivepatientsinsecretaryphasewerediagnosedasendometriosisbylaparoscopy.Thefiveectopicendometria(twoatstageⅡ,twoatstageⅢandoneatstageIV)andfiveeutopicendometriaweresurgicallyexcised.One-dimensionalelectrophoresiscoupledwithliquidchromatographyandmassspectrometrywasusedtoscreenandidentifydifferentialproteins.Threedifferentialbandsinone-dimensionalelectrophoresiswereresolvedbyliquidchromatographyandmassspectrometryand14up-regulatedproteinswereidentified,includingcollagenα-1,α-2,α-3(VI),α-1(XIV)chain,actin,annexinA2,EMILIN-1,ferritinlightpolypeptidevariant,fucosyltransferase10,myosin-9,proteinS100-A9,KIAA1783protein,andtwohypotheticalproteins.Ourdataprovidesalistofpotentialbiomarkersforendometriosis.Theidentificationsmaybeusedtodevelopnewdiagnosesforendometriosis.

简介：Inthispaper,weproposetheconceptofcohomologicaloperator.Concretely,wesuggestthecohomologicaldifferentialoperator,correlativecohomologicaldifferentialoperatorandextensivecohomologicaldifferentialoperatorandbringcovariantderivativeintotheextensivecohomologicaldifferentialoperator,WeconstructonetypeofnonlineardifferentialequationsbyextensivecohomologicaldifferentialoperatorandcomparetheobtainedresaleswiththeYang-Millsequation.

简介：Westudythefleetsizeandmixvehicleroutingproblemwithconstraintsonthecapacityofeachvehicle.Theobjectiveistominimizethetotalcostincludingfixedutilizationcostofvehiclesandtravelingcostbyvehicles.Wegivedifferentialapproximationalgorithmsforthefleetsizeandmixvehicleroutingproblem(FSMVRP)withtwokindsofvehicles,thecapacitiesofwhicharerespectivelyn1kandn2k,n2>n1≥1,k≥1.Usingexistingtheoriesforvehicleroutingproblemsandfeatureofthealgorithmsrepresentedinthepaper,wealsoprovethatthealgorithmsgive(1-(6n+3/((n+1)2k+n+1))differentialapproximationratiofor(k,nk)VRP,n>1and(1-(6n2+3n1/(n1k+n2k)2k))differentialapproximationratiofor(n1k,n2k)VRP,n2>n1>1.

简介：LetXdenoteacomplexanalyticmanifold,andletAut(X)denotethespaceofinvertiblemapsofagerm(X,a)toagerm(X,b);thisspaceisobviouslyagroupoid;roughlyspeaking,a'Liegroupoid'isasubgroupoidofAut(X)definedbyasystemofpartialdifferentialequations.ToafoliationwithsingularitiesonXoneattachessuchagroupoid,e.g.thesmallestonewhoseLiealgebracontainsthevectorfieldstangenttothefoliation.Itiscalled'theGaloisgroupoidofthefoliation'.Someexamplesareconsidered,forinstancefoliationsofcodimensionone,andfoliationsdefinedbylineardifferentialequations;inthislastcaseonerecuperatestheusualdifferentialGaloisgroup.

简介：Brownian运动和泊松过程(BDSDEP)在随机的时间间隔上与non-Lipschitz系数驾驶的向后的二倍地随机的微分方程被学习。为quasilinear的一个类的答案的概率的解释随机的部分微分积分的方程(SPDIE)与BDSDEP被对待。在non-Lipschitz条件下面，BDSDEP的可测量的答案的存在和唯一结果经由变光滑的技术被建立。然后，为BDSDEP的答案的连续依赖被导出。最后，为quasilinearSPDIE的一个班的答案的概率的解释被给。

简介：

简介：Thispapermainlydiscussesthe"double-trackcharge"system(priceprejudicechargesystem)intheoryandpractice.Theauthorexplainsandanalyzesthe"differentialchargesphenomenon"ofuniversitiesinChinabytaking"Paretooptimality"asregulationstandardand"Darwinoptimality"asempiricalstandard,combiningregulationstandardwithpracticestandard,realisticstandardofvaluejudgmentwithultimatestandard,andfairnesswithefficiency.Thispaperprovidestheoreticalreferenceandanoperationplatformforapplicationandimplementationdifferentialchargesandthecontainmentofcorruptionincollegeenrollment.

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简介：Inthispaperweprovethatanaffinehyperspherewithscalarcurvaturezeroinaunimodularaffinespaceofdimensionn+1mustbecontainedeitherinanellipticparaboloidorinanaffineimageofthehypersurfacex1x2…xn+1=const.Weprovealsothatanaffinecomplete,affinemaximalsurfaceisanellipticparaboloidifitsaffinenormalsomit4ormoredirectionsingeneralposition.

简介：Inthispaper,asemilinearelliptic-parabolicPDEsystemwhicharisesinatwodimensionalgroundwaterflowproblemisstudied.ExistenceanduniquenessresultsareestablishedviatheL^p-L^qaprioriestimatesandtheinversefunctiontheorem.

简介：InthispaertheinequalityofLemma1of[1]isextended.BymeansofourinequalityandthemethodofLyapunovfunctionwestudythestabilityoftwokindsoflargeseatedifferentialsystemswithtimelagandthestabilityofahigher-orderdifferentialequationwithtimelag.Thesufficientconditionsforthestability(S.),theasymptoticstability(A.S.),theuniformlyasymptoticstability(U.A.S)andtheexponentialasymptoticstability(E.A.S.)ofthezerosolutionsofthesystermsareobtainedrespectively.

简介：Thisarticleinvestigatesthefractionalderivativeorderidentification,thecoefficientidentification,andthesourceidentificationinthefractionaldiffusionproblems.If1<α<2,weprovetheuniquedeterminationofthefractionalderivativeorderandthediffusioncoefficientp(x)by∫t0u(0,s)ds,0

简介：Anewapproachisgiventoanalysetheregularityofsolutionsnearsingularpointsfortheinterfaceproblemsofsecondorderellipticpartialdifferentialequations.Forgeneralequationswithnonsyrnmetricdominanttermsanddiscontinuouspiecewiaesmoothcoefficients,itisprovedthatsolutionsinH^1canbedocomposedintotwoparts,oneofwhichisafinitesumofparticularsolutionstothecorrespondinghomogeneonsequationswithpiecewiseconstantcoettioionts,andtheotheroneofwhichistheregularpart.Moreoveraprioriestimationsareproven.

简介：<正>Inthispaperwegivethenecessaryandsufficientconditionsforallfinitecriticalpointsofquadraticdifferentialsystemstobeweakfoci,andsolveanopenproblemproposedbyYanqianYe.

简介：在这篇论文，我们将扩大严格的稳定性到冲动的微分方程。由使用Lyapunov功能，我们将为冲动的微分方程的严格的稳定性得到一些标准，并且我们能看到推动确实贡献系统的严格的稳定性行为。一个例子也在这篇论文被给说明获得的结果的效率。关键词冲动的微分方程-严格的稳定性-Lyapunov功能先生(2000)题目分类34A37-34D99这个工作被中国(60474008)的国家自然科学基础和上海城市(03ZR14095)的自然科学基础支持，中国

简介：<正>Weusethemethodofloweranduppersolutionscombinedwithmonotoneiterationstodifferentialproblemswithaparameter.Existenceofextremalsolutionstosuchproblemsisproved.

简介：Aformulationofadifferentialequationasprojectionandfixedpointpi-Memalloivsapproximationsusinggeneralpiecnvisefunctions.Weproneexistenceanduniquenessoftheupproximatesolution*convergenceintheL2normandnodalsupercnnvergence.TheseresultsgeneralizethoseobtainedearlierbyHulmeforcontinuouspiecevjisepolynomialsandbyDelfour-Dubeaufordiscontinuouspieceuiisepolynomials.Adualityrelationshipforthetwotypesofapproximationsisalsogiven.